Discussion for Reasoning and Proof Discussion
You have learned about the following topics:
writing conditional statements
understanding the parts of conditional statements
writing converses, inverses, and contrapositives of conditional statements
writing biconditional statements
recognizing good definitions
understanding and using properties of congruence and equality
writing two-column proofs
Reflect on each of these topics and answer two of the following questions:
Which topic in this unit do you feel the most confident about and why?
Which topic in this unit has been the most challenging for you and why?
When might you use conditional statements in your everyday life?
Post in the discussion with answers to these questions. Next, view posts from your classmates and respond to two of them. Do you feel confident about the same topic as your classmates? Why does this topic make sense to you? Do you share the same challenge as your classmates? If so, what can you do to overcome that challenge? Do you understand the examples your classmates provided of using conditional statements in everyday life? Do their examples apply to your life too?
I feel the most confident about writing conditional statements because it is a straightforward process of identifying the hypothesis and conclusion and putting them together in the correct format. I also feel confident about writing two-column proofs because I have practiced them extensively and have a good understanding of the logical steps involved in proving a statement.
The most challenging topic for me in this unit has been understanding and using properties of congruence and equality. It requires memorizing different properties and knowing how to apply them in different situations. It also involves a lot of visualization and spatial reasoning, which is not my strong suit. However, I have been practicing a lot and seeking extra help from my teacher, which has been helping me improve in this area.
I might use conditional statements in everyday life when making plans with others. For example, if I want to meet a friend for lunch, I would say something like "If you're free tomorrow, let's meet for lunch." This is a conditional statement where the hypothesis is "you're free tomorrow" and the conclusion is "let's meet for lunch." It helps to communicate my expectations and allow the other person to respond accordingly.
In response to my classmates' posts, I see that many of them also feel confident about writing conditional statements and two-column proofs. It's great to see that we are on the same page and have a similar understanding of those topics. Some of them have mentioned that understanding and using properties of congruence and equality has been challenging for them as well. We can support each other by collaborating and sharing different strategies for remembering and applying these properties. Overall, I found their examples of using conditional statements in everyday life relatable and applicable to my own life as well.